Answer:
5 cars must be sold for profits to be equal.
Step-by-step explanation:
Two companies offer Jane a sales position. Company A pays $3,000 per month plus $250 per car sold. Company B pays $2,500 per month plus $350 per car sold. Which equation could be used to determine the number of cars sold in a month, x, that would result in the same total income from each company?
Company a profit: 3,000 + 250x
Company b profit: 2,500 + 350x
They ask for x when:
company a profit = company b profit
3,000 + 250x = 2,500 + 350x
subtract 2,500 from both sides:
3,000 + 250x - 2,500 = 2,500 + 350x - 2,500
500 + 250x = 350x
subtract 250x from both sides:
500 + 250x -250x = 350x - 250x
500 = 100x
divide both sides by 100:
500/100 = 100x/100
x = 5
5 cars must be sold
<u>check:</u> when x = 5
3,000 + 250x = 2,500 + 350x
3,000 + 250(5) = 2,500 + 350(5)
3,000 + 1,250 = 2,500 + 1,750
4,250 = 4,250
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